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83319896 = 23114397227
BaseRepresentation
bin1001111011101…
…01110001011000
312210210002102002
410331311301120
5132312214041
612133500132
72031131102
oct475656130
9183702362
1083319896
1143039520
1223aa1648
131435351a
14b0cc572
1574ac59b
hex4f75c58

83319896 has 64 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 36449280.

The previous prime is 83319889. The next prime is 83319917. The reversal of 83319896 is 69891338.

Its product of digits (279936) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 83319896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366935 + ... + 367161.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 283319896 is an apocalyptic number.

83319896 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83319896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88482240).

83319896 is an abundant number, since it is smaller than the sum of its proper divisors (93644584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83319896 is a wasteful number, since it uses less digits than its factorization.

83319896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 83319896 is about 9127.9732690231. The cubic root of 83319896 is about 436.7667539224.

The spelling of 83319896 in words is "eighty-three million, three hundred nineteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 97 172 194 227 344 388 454 473 776 908 946 1067 1816 1892 2134 2497 3784 4171 4268 4994 8342 8536 9761 9988 16684 19522 19976 22019 33368 39044 44038 45881 78088 88076 91762 107371 176152 183524 214742 242209 367048 429484 484418 858968 946817 968836 1893634 1937672 3787268 7574536 10414987 20829974 41659948 83319896